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Finding the Fourth Proportional to 1,003.04, 1,384.68 and 630.20

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Solution

The fourth proportional to 1,003.04, 1,384.68 and 630.20 is: 869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.04 : 1,384.68 = 630.20 : x
  2. Step 2: Convert to fraction form
    1,003.04/1,384.68 = 630.20/x
  3. Step 3: Cross multiply
    1,003.04x = 1,384.68 × 630.20
  4. Step 4: Simplify right side
    1,003.04x = 872,625.34
  5. Step 5: Solve for x
    x = 872,625.34/1,003.04
  6. Step 6: Final answer
    x = 869.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.